Jennifer Aniston's Foodie Tour of Connecticut

In town for the month, shooting her latest film on a Stamford set, the actress, 44, has managed to please her palate by visiting a number of popular local restaurants.

On Feb. 2, Aniston had an array of delectable items at eleven14 Kitchen, an American restaurant at J House Greenwich hotel.

According to the restaurant, as an appetizer, the star enjoyed the organic green salad with pumpkin seeds and fennel pollen in red wine vinaigrette. For an entrée, she chose the grilled Amish chicken with pearl onions, fingerling potatoes and mushrooms. For dessert, she indulged in almond dacquoise and chocolate mousse topped with gold leaf.

Sipping on gin and tonic, Aniston dressed casually in black jeans and a black and white print button-down shirt.

Valentine's Day was ever so sweet for the starlet, whose fiancé, Justin Theroux, provided her preferred meal from one of her favorite eateries in the area, Greenwich's Terra Ristorante Italiano.

"The kitchen was closed, and we made it special for them," the restaurant's assistant manager Jean Maxine De Givenchy told PEOPLE.

Then a few days later, on Feb. 17, Aniston and Theroux, 41, headed back to New York and finally found some time to relax.

In Greenwich Village, the couple and three pals dined at Il Cantinori, where they seemed "very happy, very casual, [and] relaxed [with] lots of laughing," according to Tayma Gandur, who dined two tables away from the group.

"[It was a] calm, chatty night out with friends," Gandur says, adding that Aniston seemed very happy and content. There was no PDA, but the engaged pair snuggled and sipped on white wine.

Also during her time in town, Aniston popped into L'Escale, the restaurant attached to the Delamar Greenwich Harbor hotel.

"She was having a cocktail," De Givenchy, who happened to run into Aniston at the spot, says. "I was surprised because she drank vodka on the rocks with a squeeze of fresh lemon [when she dined at Terra Ristorante Italiano]. At L'Escale, too, she was drinking the same thing. She was very happy, and she had some friends with her [and some people from the movie]. I [heard] her saying, 'Drink up girl, have fun!'"

For much more on Aniston and Theroux's wedding plans, their romantic Oscar night and look inside their relationship, pick up this week's issue of PEOPLE